Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 19/655, 742/332, 551/982 quickly i.e. 408842 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 19/655, 742/332, 551/982 is 408842.
LCM(19/655, 742/332, 551/982) = 408842
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 19/655,742/332,551/982
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 19,742,551
Least Common Multiple of Numerators i.e. LCM of 19,742,551 is 408842.
GCF of Denominators means GCF of 655,332,982 as per the given fractions.
GCF of 655,332,982 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 19,742,551
19 | 19, 742, 551 |
1, 742, 29 |
∴ So the LCM of the given numbers is 19 x 1 x 742 x 29 = 408842
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 19,742,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,742,551) = 1
common factors(in case of two or more numbers have common factors) = 19
GCF(19,742,551) x common factors =1 x 19 = 19
LCM(19,742,551) = ( 19 × 742 × 551 ) / 19
LCM(19,742,551) = 7767998 / 19
LCM(19,742,551) = 408842
Lets's calculate GCF of 655,332,982
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 408842/1
Therefore the LCM of Fractions 19/655,742/332,551/982 is 408842
Factors of 655
List of positive integer factors of 655 that divides 655 without a remainder.
1,5,131,655
Factors of 332
List of positive integer factors of 332 that divides 332 without a remainder.
1,2,4,83,166,332
Factors of 982
List of positive integer factors of 982 that divides 982 without a remainder.
1,2,491,982
Greatest Common Factor
We found the factors 655,332,982 . The biggest common factor number is the GCF number.
So the greatest common factor 655,332,982 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 19/655, 742/332, 551/982?
Answer: LCM of Numerators as per given numbers 19/655, 742/332, 551/982 is
LCM of Numerators i.e. for 19,742,551 is 408842
GCF of denominators i.e. for 655,332,982 is 1.
Thus, LCM of Fractions is 408842.Finally, LCM of Fractions for 19/655, 742/332, 551/982 is 408842.